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Everything about Unit circle
Circle with radius of one
In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin in the Cartesian coordinate system in the Euclidean plane. In topology, it is often denoted as S1 because it is a one-dimensional unit n-sphere. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Unit circleA 5-minute orientation
- Skim a recent paper: Supply-demand matching assessment of the public service facilities in 15-minute community life circle based on residents' behaviorsInfluential work since 2022
- Pick up a classic book: AmericanahThe most-reprinted book on the subject
- Read the landmark paper: Serine, glycine and one-carbon units: cancer metabolism in full circleCited 1,622 times
- Go sideways: Pythagorean trigonometric identityA closely related topic
- Go sideways: Proofs of trigonometric identitiesA closely related topic
📖 Definitions
Noun A circle of radius 1.
Noun The circle of radius 1 with centre at the origin, used in defining trigonometric functions.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Serine, glycine and one-carbon units: cancer metabolism in full circle
TH-17 cells in the circle of immunity and autoimmunity
Orthogonal polynomial matrices on the unit circle
Morphological operators on the unit circle
Szego's Extremum Problem on the Unit Circle
Algebras of functions on the unit circle
Algebraic integers near the unit circle
Matrix orthogonal polynomials on the unit circle
🆕 Influential since 2022
Supply-demand matching assessment of the public service facilities in 15-minute community life circle based on residents' behaviors
Multivariate Vandermonde matrices with separated nodes on the unit circle are stable
A Note on the Unit-Circle-Zeros Property of the MVDR Beamformer
Regularity for free multiplicative convolution on the unit circle
Intrinsic Diophantine approximation on the unit circle and its Lagrange spectrum
📚 Books worth reading
AmericanahChimamanda Ngozi Adichie · 1969
RagtimeE. L. Doctorow · 1974
The MarchE. L. Doctorow · 2005
Far From the TreeAndrew Solomon, Andrew Solomon · 2012
Reengineering managementJames Champy · 1995
The media monopolyBen H. Bagdikian · 1983
William ForsytheSenta Driver · 2000
The flag on the hilltopMary Tracy Earle · 1902
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Pythagorean trigonometric identity The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric…
- Proofs of trigonometric identities There are several equivalent ways for defining trigonometric functions, and the proofs of the trigonometric identities between them depend on the chosen…
- Trigonometric functions In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate…
- Sine and cosine In mathematics, sine and cosine are trigonometric functions. The sine and cosine of an acute angle are defined in the context of a right triangle: the…
- Inverse trigonometric functions In mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions…
- Tangent half-angle formula In trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle. The tangent of half…
- Differentiation of trigonometric functions The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change…
- Euler's formula Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the…